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Finding the Fourth Proportional to 329,605.46, 494,481.78 and 140,071.84

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Solution

The fourth proportional to 329,605.46, 494,481.78 and 140,071.84 is: 210,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,605.46 : 494,481.78 = 140,071.84 : x
  2. Step 2: Convert to fraction form
    329,605.46/494,481.78 = 140,071.84/x
  3. Step 3: Cross multiply
    329,605.46x = 494,481.78 × 140,071.84
  4. Step 4: Simplify right side
    329,605.46x = 69,262,972,771.08
  5. Step 5: Solve for x
    x = 69,262,972,771.08/329,605.46
  6. Step 6: Final answer
    x = 210,139.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.